The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000 − 2004 where t is the number of years since 2000 is as follows: Year, t 0 1 2 3 4 Connections, c (in thousands) 0 10 25 65 150

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Answer 1

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

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Answer 2

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Expert Solution & Answer

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Answer 3

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

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Answer 4

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

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Answer 5

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 6

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 7

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 8

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

Answer 9

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

Answer 10

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 11

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 12

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Answer 13

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Answer 14

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Answer 15

Solution Summary: The author calculates the regression line, the correlation coefficient r, and plotted the provided points along with the obtained regression lines using the technology.

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Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

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Chapter 1 Solutions

Year, t	0	1	2	3	4
Connections, c (in thousands)	0	10	25	65	150

Year, t	0	1	2	3	4
Connections, c (in thousands)	0	10	25	65	150